\(\textbf{1)}\) Is the graph continuous at \(x=-2\)? No, Not Continuous
\(\textbf{2)}\) Is the graph continuous at \(x=-1\)? Yes, Continuous
\(\textbf{3)}\) Is the graph continuous at \(x=0\)? Yes, Continuous
\(\textbf{4)}\) Is the graph continuous at \(x=1\)? No, Not Continuous
\(\textbf{5)}\) Is the graph continuous at \(x=2\)? Yes, Continuous
\(\textbf{6)}\) Is the graph continuous at \(x=3\)? Yes, Continuous
\(\textbf{7)}\) Is the graph continuous at \(x=4\)? No, Not Continuous
\(\textbf{8)}\) Is the graph continuous at \(x=5\)? Yes, Continuous
\(\textbf{9)}\) Is the graph continuous at \(x=6\)? No, Not Continuous
See Related Pages\(\)
\(\bullet\text{ Calculus Homepage}\)
\(\,\,\,\,\,\,\,\,\text{All the Best Topics…}\)
\(\bullet\text{ Limits on Graphs}\)
\(\,\,\,\,\,\,\,\,\)\(…\)
\(\bullet\text{ Piecewise Functions- Limits and Continuity}\)
\(\,\,\,\,\,\,\,\,\)
\(…\)
\(\bullet\text{ Infinite Limits}\)
\(\,\,\,\,\,\,\,\,\displaystyle \lim_{x\to 4^{+}} \frac{5}{x-4}\)
\(\bullet\text{ Limits at Infinity}\)
\(\,\,\,\,\,\,\,\,\displaystyle\lim_{x\to \infty}\frac{5x^2+2x-10}{3x^2+4x-5}\)
\(\bullet\text{ Trig Limits}\)
\(\,\,\,\,\,\,\,\,\displaystyle \lim_{\theta\to0} \frac{\sin \theta}{\theta}=1\)